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Finding the Fourth Proportional to 12,038.58, 16,613.72 and 6,660.92

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Solution

The fourth proportional to 12,038.58, 16,613.72 and 6,660.92 is: 9,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.58 : 16,613.72 = 6,660.92 : x
  2. Step 2: Convert to fraction form
    12,038.58/16,613.72 = 6,660.92/x
  3. Step 3: Cross multiply
    12,038.58x = 16,613.72 × 6,660.92
  4. Step 4: Simplify right side
    12,038.58x = 110,662,683.77
  5. Step 5: Solve for x
    x = 110,662,683.77/12,038.58
  6. Step 6: Final answer
    x = 9,192.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.